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math.DG2017
Spectral properties and rigidity for self-expanding solutions of the mean curvature flows
Xu Cheng, Detang Zhou
In this paper, we study self-expanders for mean curvature flows. First we show the discreteness of the spectrum of the drifted Laplacian on them. Next we give a universal lower bou…
math.DG2017★ 8 cited
On the Morse index of higher-dimensional free boundary minimal catenoids
Graham Smith, Ari Stern, Hung Tran +1
For all , we define the -dimensional critical catenoid to be the unique rotationally symmetric, free boundary minimal hypersurface of non-trivial topology embedded in t…